Question about Hilbert Space

[1Nairove]

According to the old standards of wiki, hilbert space was giving High 1-B I guess, but now it gives 5D (Low 1C) why is that? and what does a type 3 universe give?

 

[Theoretical]

According to the old standards of wiki, hilbert space was giving High 1-B I guess, but now it gives 5D (Low 1C) why is that? and what does a type 3 universe give?

Not sure ab the standards of the wiki but mwi physically it should only be 2-A

Quantum states correspond to vector spaces in quantum mechanics these vector spaces being Hilbert space which is more of a probabilistic and abstract space than it is real space so if someone destroyed mwi for example it would only be around 2-A at best if we account for Hilbert space then it should count for some hax like probability manipulation and quantum manipulation on a high 1-B scale

Mwi should also have the infinite dimensional Hilbert space specifically by necessity because I see people saying Hilbert space is not infinite dimensional by necessity which is true but not in the case of mwi because mwi should at the very least contain infinite quantum states which we know would exist because the quantum superposition would happen for infinite states those states being the parallel worlds themselves in mwi which would be instantiated by the infinite dimensional Hilbert space this is the easiest way to demonstrate the existence of the infinite dimensional Hilbert space in mwi which is why specifically when you read in tegmarks multiverse types and you see type 3 which is mwi they posit not the existence of a finite dimensional Hilbert space but an infinite dimensional one

mwi needs the infinite dimensional space Hilbert to function and describe those quantum states now I'm pretty sure mwi doesn't grant any feat past 2-A for reasons

-it's not real space its not physical it's abstract and its probabilistic

-Hilbert space is not infinite dimensional by default

The latter is a silly reason while the former is more reasonable but existing beyond the very notion of mwi should qualify atleast for either high 1-B or low 1-A because if we include notion it'll include that infinite dimensional Hilbert space

Whilst just destroying it would only grant 2-B and possibly high 1-B hax like quantum manipulation or probability manipulation on that scale

The distinction is similar to manipulating a concept of space time for example and existing beyond that concept the former in the wiki is only hax the latter could suffice to act as an ap feat to be low 1-C or possibly higher or whatever

That's just my take on what the standards should be for mwi

 

[Guardian_Doge]

^^What he said
Everetts interpretation also states there are as many copies of the universe as it’s size, which means if it’s copies of a finite universe, there’s also a finite amount of branches, which is conversely also why inflation is posited with it to of course assume a standard model.

Tegmark’s model is infinite dimensional, because it also works consistently with his level 2 multiverse which has varying physical constants including dimensionality in which at that point we can say unitary operators will cause fluctuations in the Hilbert space that cause the symmetry to allow higher probability distribution in greater dimensions by necessity.

The catch is, eigenstates are also “dimensions” of vector spaces so it could also be infinite-dimensional in that there’s infinite possible values to distribute the particle in and pin its location. So really a lot of things are contextually dependent but that’s the gist of it.